Mathematica Bohemica

Mathematica Bohemica, Vol. 149, No. 1, pp. 27-38, 2024

On a theorem of McCoy

Rajendra Kumar Sharma, Amit B. Singh

Received March 3, 2022. Published online January 17, 2023.

Abstract: We study McCoy's theorem to the skew Hurwitz series ring $({\rm HR}, \omega)$ for some different classes of rings such as: semiprime rings, APP rings and skew Hurwitz serieswise quasi-Armendariz rings. Moreover, we establish an equivalence relationship between a right zip ring and its skew Hurwitz series ring in case when a ring $R$ satisfies McCoy's theorem of skew Hurwitz series.

Keywords: skew Hurwitz series ring; $\omega$-compatible ring; skew Hurwitz serieswise; quasi-Armendariz rings; zip ring; APP ring

Classification MSC: 16S85, 16U80, 16S10

DOI: 10.21136/MB.2023.0031-22

PDF available at: Institute of Mathematics CAS Digital Mathematics Library

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Affiliations: Rajendra Kumar Sharma, Department of Mathematics, Indian Institute of Technology, New Delhi-110016, India, e-mail: rksharmaiitd@gmail.com; Amit B. Singh (corresponding author), Department of Computer Science and Engineering, Jamia Hamdard (deemed to be University), New Delhi-110062, India, e-mail: amit.bhooshan84@gmail.com

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